Boundary behavior of subharmonic functions in nontangential accessible domains

• Autorzy: Shiying Zhao
• Języki publikacji: EN

Abstrakty

EN

The following results concerning boundary behavior of subharmonic functions in the unit ball of $ℝ^n$ are generalized to nontangential accessible domains in the sense of Jerison and Kenig [7]: (i) The classical theorem of Littlewood on the radial limits. (ii) Ziomek's theorem on the $L^p$-nontangential limits. (iii) The localized version of the above two results and nontangential limits of Green potentials under a certain nontangential condition.

Słowa kluczowe

EN

subharmonic function; Green potential; boundary limit; NTA domain

Kategorie tematyczne

• 31B25: Boundary behavior

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 108
• Numer: 1
• Strony: 25-48

Daty

wydano

1994

otrzymano

1992-06-30

Twórcy

autor

Shiying Zhao

• Department of Mathematics and Computer Science, University of Missouri-St. Louis, St. Louis, Missouri 63121, U.S.A.

Bibliografia

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